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Finding the Fourth Proportional to 173,872.70, 260,809.05 and 120,218.30

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Solution

The fourth proportional to 173,872.70, 260,809.05 and 120,218.30 is: 180,327.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,872.70 : 260,809.05 = 120,218.30 : x
  2. Step 2: Convert to fraction form
    173,872.70/260,809.05 = 120,218.30/x
  3. Step 3: Cross multiply
    173,872.70x = 260,809.05 × 120,218.30
  4. Step 4: Simplify right side
    173,872.70x = 31,354,020,615.62
  5. Step 5: Solve for x
    x = 31,354,020,615.62/173,872.70
  6. Step 6: Final answer
    x = 180,327.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.